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# Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605)
# Folio 33, page id 1023099829:0083
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.94
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

C OM BTHA ETONES.
Monitum.
FToc problemare eractarum hunc absoluere constimeraM, nOn Fa-
men omnino sine molestia, cum mulca alia parara habeam, sed obi
canea vberras vi moderanda est tames, his erro pauca haec subiiciam.
Frudicissimus ac mihi charissimus. D. D. DeCanieres, circa combi-
nationes, assiduo ac perutili labore, more luo, incum bens, ac indioens
Facili constructione ad inveniendum quories numerus darus in alio da-
eo combinetur, hanc ipse sibi praxim instiruie.
Daris numeris v. 5. 2,G, invenire quotmodis 2, combinetur in 6.
Assumatur inquie procressio duorum terminorum quia inOF Nu-
MeruS eA 2 incheando à majore 6, ac retrocrediendo, seu detrahendo
vnitatem ex vnoquoque termino, hoc modo, 6, 5: Deinde assumatur
altera proere sio inchoando ab ipsominore 2 ac similiter recrorredien-
do hoc modo 2, r. Mulciplicentur invicem numeri primae proeressionis,
6,5, Sitque productus 30. Multiplicentur e numeri secundae proeres
Sionis, 2, I, sirque productus 2. Dinidatur major productus per mino-
rem. Quotiens est quaesitus.
Fxcellenrem hanc Colutionem ipse mihi octendic, ac eriam demon-
Reandam propoluie, ipsam ego sane miratus sum, Sed difticultare Terrirus
vix opus suscepi, sc ipsi authori relinquendum existimaui; ACramen
erianguli arichmerici auxilio, sic procliuis facta est via.
Ins lemm. huius, ostendi numerum cellulae E, exponere mulciendi
nem combinationum numeri z in 6, quare ipsius reciproca cellula R
eundem numerum continebir. Verum, cellula ipsa K est quotiens di-
visionis in qua productus numerorum L, 2, qui praecedunt z radicem
cellulae R, dividit productum totidem numerorum continuorum quo-
rumprimus est s exponens seriei cellulae L, nempenumerorum 5, 6. Sed
ille dinisor ac dividendus sune iidem ac illi qui in constructione amica
Cune proposiri, isicur eundem quorientem Corrieur diuisio, quare ipse
exponic mulcicudinem combinacionum numeri 2 in 6, qua quareba-
EUT. O. F. D.
Elac demonstratione assecuta, jam reliqua quae invirus supprimebam
libencer omicro, adeo dulce est amicorum memorari.